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Investor Matt has $83,000 to invest in a CD and a mutual fund. The CD yields 4% and the mutual fund yields an average of 8.5%. The mutual fund requires a minimum investment of $10,000, and Matt requires that at least 2 times as much money be invested in the CD as in the mutual fund. You must invest in these bonds to maximize his return. This can be set up as a linear programming problem. Introduce the decision variables: x = dollars invested in the CD y = dollars invested in the mutual fund Check all of the problem constraints. Note: The non-negative constraints are not included here.

Investor Matt has $83,000 to invest in a CD and a mutual fund. The CD yields 4% and the mutual fund yields an average of 8.5%. The mutual fund requires a minimum investment of $10,000, and Matt requires that at least 2 times as much money be invested in the CD as in the mutual fund. You must invest in these bonds to maximize his return. This can be set up as a linear programming problem. Introduce the decision variables: x = dollars invested in the CD y = dollars invested in the mutual fund Check all of the problem constraints. Note: The non-negative constraints are not included here.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 21E: Making furniture Two woodworkers, Chase and Devin, get 100 for making a table and 80 for making a...
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Investor Matt has $83,000 to invest in a CD and a mutual fund. The CD yields 4% and the mutual fund yields an average of 8.5%. The mutual fund requires a minimum investment of $10,000, and Matt requires that at least 2 times as much money be invested in the CD as in the mutual fund. You must invest in these bonds to maximize his return. This can be set up as a linear programming problem. Introduce the decision variables: x = dollars invested in the CD y = dollars invested in the mutual fund Check all of the problem constraints. Note: The non-negative constraints are not included here. O x + y < 83000 O y > 2x O y > 10000 O y< 10000 O 0.04x + 0.085y > 10000 0.04x + 0.085y < 83000 O x + y > 10000 O x > 2y O a> 10000
Transcribed Image Text:Investor Matt has $83,000 to invest in a CD and a mutual fund. The CD yields 4% and the mutual fund yields an average of 8.5%. The mutual fund requires a minimum investment of $10,000, and Matt requires that at least 2 times as much money be invested in the CD as in the mutual fund. You must invest in these bonds to maximize his return. This can be set up as a linear programming problem. Introduce the decision variables: x = dollars invested in the CD y = dollars invested in the mutual fund Check all of the problem constraints. Note: The non-negative constraints are not included here. O x + y < 83000 O y > 2x O y > 10000 O y< 10000 O 0.04x + 0.085y > 10000 0.04x + 0.085y < 83000 O x + y > 10000 O x > 2y O a> 10000
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